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Finding the Fourth Proportional to 41,706.64, 57,554.61 and 22,843.78

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Solution

The fourth proportional to 41,706.64, 57,554.61 and 22,843.78 is: 31,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,706.64 : 57,554.61 = 22,843.78 : x
  2. Step 2: Convert to fraction form
    41,706.64/57,554.61 = 22,843.78/x
  3. Step 3: Cross multiply
    41,706.64x = 57,554.61 × 22,843.78
  4. Step 4: Simplify right side
    41,706.64x = 1,314,764,848.83
  5. Step 5: Solve for x
    x = 1,314,764,848.83/41,706.64
  6. Step 6: Final answer
    x = 31,524.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.